Sr Examen
Integral de 1/(x+x*ln^3*x) dx
Solución
Ha introducido
[src]
oo / | | 1 | ------------- dx | 3 | x + x*log (x) | / 1
$$\int\limits_{1}^{\infty} \frac{1}{x \log{\left(x \right)}^{3} + x}\, dx$$
Integral(1/(x + x*log(x)^3), (x, 1, oo))
Respuesta (Indefinida)
[src]
/ | | 1 log(1 + log(x)) / 2 \ | ------------- dx = C + --------------- + RootSum\9*z + 3*z + 1, i -> i*log(3*i + log(x))/ | 3 3 | x + x*log (x) | /
$$\int \frac{1}{x \log{\left(x \right)}^{3} + x}\, dx = C + \frac{\log{\left(\log{\left(x \right)} + 1 \right)}}{3} + \operatorname{RootSum} {\left(9 z^{2} + 3 z + 1, \left( i \mapsto i \log{\left(3 i + \log{\left(x \right)} \right)} \right)\right)}$$
Respuesta
[src]
oo / | | 1 | ------------- dx | 3 | x + x*log (x) | / 1
$$\int\limits_{1}^{\infty} \frac{1}{x \log{\left(x \right)}^{3} + x}\, dx$$
=
=
oo / | | 1 | ------------- dx | 3 | x + x*log (x) | / 1
$$\int\limits_{1}^{\infty} \frac{1}{x \log{\left(x \right)}^{3} + x}\, dx$$
Integral(1/(x + x*log(x)^3), (x, 1, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.